101202121120001 has 24 divisors (see below), whose sum is σ = 114997264305000. Its totient is φ = 88934510649600.

The previous prime is 101202121119959. The next prime is 101202121120003. The reversal of 101202121120001 is 100021121202101.

It can be written as a sum of positive squares in 4 ways, for example, as 1758146054401 + 99443975065600 = 1325951^2 + 9972160^2 .

It is not a de Polignac number, because 101202121120001 - 2³⁸ = 100927243213057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101202121120003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93035126 + ... + 94116623.

It is an arithmetic number, because the mean of its divisors is an integer number (4791552679375).

Almost surely, 2^{101202121120001} is an apocalyptic number.

101202121120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202121120001 is a deficient number, since it is larger than the sum of its proper divisors (13795143184999).

101202121120001 is a wasteful number, since it uses less digits than its factorization.

101202121120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187151921 (or 187151910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101202121120001 its reverse (100021121202101), we get a palindrome (201223242322102).

The spelling of 101202121120001 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, one".